Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (11): 1339-1347.

• Articles • Previous Articles     Next Articles

NONLINEAR SATURATION OF BAROCLINIC INSTABILITY IN THE GENERALIZED PHILLIPS MODEL(Ⅱ)-THE LOWER BOUND ON THE DISTURBANCE ENERGY AND POTENTIAL ENSTROPHY TO THE NONLINEARLY UNSTABLE BASIC FLOW

ZHANG Gui1, XIANG Jie2   

  1. 1. Department of Mathematics and Physics, Institute of Science, University of Science and Technology, P L A, Nanjing 211101, P. R. China;
    2. Department of Meteorology, P. O. Box 003, Nanjing 211101, P. R. China
  • Received:2001-11-29 Revised:2002-05-25 Online:2002-11-18 Published:2002-11-18
  • Supported by:
    the National Natural Science Foundation of China(40075014)

Abstract: On the basis of the nonlinear stability theorem in the context of Arnol’d’s second theorem for the generalized Phillips model,nonlinear saturation of baroclinic instability in the generalized Phillips model is investigatedThe lower bound on the disturbance energy and potential enstrophy to the nonlinearly unstable basic flow in the generalized Phillips model is presented,which indicates that there may exist an allocation between a nonlinearly unstable basic flow and a growing disturbance

Key words: nonlinear saturation, baroclinic instability, generalized Phillips model, basic flow

2010 MSC Number: 

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